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Finding the Fourth Proportional to 691.39, 953.64 and 469.96

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Solution

The fourth proportional to 691.39, 953.64 and 469.96 is: 648.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.39 : 953.64 = 469.96 : x
  2. Step 2: Convert to fraction form
    691.39/953.64 = 469.96/x
  3. Step 3: Cross multiply
    691.39x = 953.64 × 469.96
  4. Step 4: Simplify right side
    691.39x = 448,172.65
  5. Step 5: Solve for x
    x = 448,172.65/691.39
  6. Step 6: Final answer
    x = 648.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.